%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SYN684-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Apr 9 10:04:11 PM UTC 2025
% Result : Unsatisfiable 14.95s 5.74s
% Output : CNFRefutation 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 19 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ p23 > p7 > p6 > p3 > p27 > p26 > p25 > p24 > p20 > p2 > p19 > p14 > p12 > p10 > p22 > f21 > f18 > f16 > f15 > f13 > f11 > #nlpp > f9 > f8 > f5 > f4 > f17 > c37 > c36 > c35 > c34 > c33 > c32 > c31 > c30 > c29 > c28
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(f11,type,
f11: ( $i * $i ) > $i ).
tff(c37,type,
c37: $i ).
tff(f13,type,
f13: ( $i * $i ) > $i ).
tff(f17,type,
f17: $i > $i ).
tff(p2,type,
p2: ( $i * $i ) > $o ).
tff(c34,type,
c34: $i ).
tff(p20,type,
p20: ( $i * $i ) > $o ).
tff(p23,type,
p23: ( $i * $i * $i ) > $o ).
tff(c32,type,
c32: $i ).
tff(p22,type,
p22: $i > $o ).
tff(f18,type,
f18: ( $i * $i ) > $i ).
tff(p27,type,
p27: ( $i * $i ) > $o ).
tff(f5,type,
f5: $i > $i ).
tff(p3,type,
p3: ( $i * $i ) > $o ).
tff(c36,type,
c36: $i ).
tff(p19,type,
p19: ( $i * $i ) > $o ).
tff(f9,type,
f9: $i > $i ).
tff(p25,type,
p25: ( $i * $i ) > $o ).
tff(c29,type,
c29: $i ).
tff(p14,type,
p14: ( $i * $i ) > $o ).
tff(p24,type,
p24: ( $i * $i ) > $o ).
tff(c30,type,
c30: $i ).
tff(f8,type,
f8: $i > $i ).
tff(p10,type,
p10: ( $i * $i ) > $o ).
tff(f4,type,
f4: $i > $i ).
tff(f16,type,
f16: ( $i * $i ) > $i ).
tff(p6,type,
p6: ( $i * $i ) > $o ).
tff(c35,type,
c35: $i ).
tff(f15,type,
f15: ( $i * $i ) > $i ).
tff(c31,type,
c31: $i ).
tff(c28,type,
c28: $i ).
tff(p26,type,
p26: ( $i * $i ) > $o ).
tff(f21,type,
f21: ( $i * $i ) > $i ).
tff(p7,type,
p7: ( $i * $i ) > $o ).
tff(p12,type,
p12: ( $i * $i ) > $o ).
tff(c33,type,
c33: $i ).
tff(f_41,axiom,
p25(c33,c36),
file(unknown,unknown) ).
tff(f_42,axiom,
p25(c32,c33),
file(unknown,unknown) ).
tff(f_271,axiom,
! [X36] :
( p2(f11(f4(X36),c34),f11(f4(c32),c34))
| ~ p25(X36,c36)
| ~ p25(c32,X36) ),
file(unknown,unknown) ).
tff(f_34,axiom,
! [X28] : p2(X28,X28),
file(unknown,unknown) ).
tff(f_133,axiom,
! [X29,X30,X28] :
( p2(X29,X30)
| ~ p2(X28,X29)
| ~ p2(X28,X30) ),
file(unknown,unknown) ).
tff(f_202,axiom,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
file(unknown,unknown) ).
tff(f_52,axiom,
! [X96] : ~ p2(X96,f18(X96,f9(f17(c31)))),
file(unknown,unknown) ).
tff(c_22,plain,
p25(c33,c36),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_24,plain,
p25(c32,c33),
inference(cnfTransformation,[status(thm)],[f_42]) ).
tff(c_1583,plain,
! [X36_308] :
( ~ p25(c32,X36_308)
| ~ p25(X36_308,c36)
| p2(f11(f4(X36_308),c34),f11(f4(c32),c34)) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_14,plain,
! [X28_6] : p2(X28_6,X28_6),
inference(cnfTransformation,[status(thm)],[f_34]) ).
tff(c_250,plain,
! [X28_159,X30_160,X29_161] :
( ~ p2(X28_159,X30_160)
| ~ p2(X28_159,X29_161)
| p2(X29_161,X30_160) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_265,plain,
! [X28_6,X29_161] :
( ~ p2(X28_6,X29_161)
| p2(X29_161,X28_6) ),
inference(resolution,[status(thm)],[c_14,c_250]) ).
tff(c_21444,plain,
! [X36_883] :
( p2(f11(f4(c32),c34),f11(f4(X36_883),c34))
| ~ p25(c32,X36_883)
| ~ p25(X36_883,c36) ),
inference(resolution,[status(thm)],[c_1583,c_265]) ).
tff(c_78,plain,
p2(f11(f4(c32),c34),f18(f11(f4(c33),c34),f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_202]) ).
tff(c_62,plain,
! [X28_41,X30_40,X29_39] :
( ~ p2(X28_41,X30_40)
| ~ p2(X28_41,X29_39)
| p2(X29_39,X30_40) ),
inference(cnfTransformation,[status(thm)],[f_133]) ).
tff(c_7106,plain,
! [X29_570] :
( ~ p2(f11(f4(c32),c34),X29_570)
| p2(X29_570,f18(f11(f4(c33),c34),f9(f17(c31)))) ),
inference(resolution,[status(thm)],[c_78,c_62]) ).
tff(c_38,plain,
! [X96_11] : ~ p2(X96_11,f18(X96_11,f9(f17(c31)))),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_7280,plain,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(resolution,[status(thm)],[c_7106,c_38]) ).
tff(c_21463,plain,
( ~ p25(c32,c33)
| ~ p25(c33,c36) ),
inference(resolution,[status(thm)],[c_21444,c_7280]) ).
tff(c_21544,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22,c_24,c_21463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN684-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Apr 9 08:09:48 EDT 2025
% 0.13/0.34 % CPUTime :
% 14.95/5.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.95/5.75
% 14.95/5.75 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------